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Finding the Fourth Proportional to 640.24, 883.48 and 407.28

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Solution

The fourth proportional to 640.24, 883.48 and 407.28 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.24 : 883.48 = 407.28 : x
  2. Step 2: Convert to fraction form
    640.24/883.48 = 407.28/x
  3. Step 3: Cross multiply
    640.24x = 883.48 × 407.28
  4. Step 4: Simplify right side
    640.24x = 359,823.73
  5. Step 5: Solve for x
    x = 359,823.73/640.24
  6. Step 6: Final answer
    x = 562.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.